
Open access
Date
2008-10Type
- Journal Article
Abstract
Highly spinning classical strings on \mathbb{R}\times S^{3} are described by the Landau–Lifshitz model or equivalently by the Heisenberg ferromagnet in the thermodynamic limit. The spectrum of this model can be given in terms of spectral curves. However, it is a priori not clear whether any given admissible spectral curve can actually be realized as a solution to the discrete Bethe equations, a property which can be referred to as stability. In order to study the issue of stability, we find and explore the general two-cut solution or elliptic curve. It turns out that the moduli space of this elliptic curve shows a surprisingly rich structure. We present the various cases with illustrations and thus gain some insight into the features of multi-cut solutions. It appears that all admissible spectral curves are indeed stable if the branch cuts are positioned in a suitable, non-trivial fashion. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000053252Publication status
publishedExternal links
Journal / series
New Journal of PhysicsVolume
Pages / Article No.
Publisher
Institute of PhysicsOrganisational unit
03896 - Beisert, Niklas / Beisert, Niklas
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